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Title:
Grassmannians and Random Walks
Speaker:
Abstract:
In this introductory talk, we give the basic identification between the Grassmann manifold of 2-planes in complex n-space and the space of (relatively) framed closed n-gons in 3-space. Using Haar measure on the Grassmannian defines a natural probability measure on polygon spaces, and gives a measure and a geometric structure to the space of random walks. This additional structure provides interesting tools for proving theorems about random walks, and we give several examples, followed by open questions.
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